Quant Test for IBPS Clerk 2018 Prelim Exam Set – 03

Directions(1-5): Find the value of x and y and choose a required solution.

1. 4x^2 – 39x + 56 = 0
   2y^2 = 5y + 33
   y>=x
   x>y
   y>x
   x>=y
   No relationship established.
   Option E
   4x^2 – 39x + 56 = 0
   => 4x^2 – 32x – 7x + 56 = 0
   => 4x(x-8) – 7(x-8) = 0
   => x = 8,7/4 2y^2 = 5y + 33
   =>2y^2 – 5y – 33 = 0
   => 2y^2 – 11y + 6y – 33 = 0
   => y(2y – 11) + 3(2y – 11) = 0
   => y = 11/2,-3
   No relationship established.

    

2. x^2 – 3x – 28 = 0
   y^2 + 12y + 32 = 0
   x>y
   y>=x
   y>x
   No relationship established.
   x>=y
   Option E
   x^2 – 3x – 28 = 0
   =>x^2 – 7x + 4x – 28 = 0
   => x(x-7) +4(x-7) = 0
   => (x-7)(x+4) = 0
   => x = 7, -4
   y^2 + 12y + 32 = 0
   y^2 + 12y + 32 = 0
   =>y^2 + 8y + 4y + 32 = 0
   => y(y+8) + 4(y+8) = 0
   =>y = -4, -8
   x>=y

    

3. x^2 + 27x + 180 = 0
   y^2 + 23y + 132 = 0
   x>=y
   No relationship established.
   y>x
   x>y
   y>=x
   Option E
   x^2 + 27x + 180 = 0
   =>x^2 + 12x + 15x + 180 = 0
   => x(x+12) + 15(x+12) = 0
   => x = -12, -15
   y^2 + 23y + 132 = 0
   =>y^2 + 11y + 12y + 132 = 0
   => y(y+11)+12(y+11) = 0
   =>y = -11, -12
   y>=x

    

4. 4x + 7y = 76
   9x – 5y = 5
   No relationship established.
   y>x
   x>y
   x>=y
   y>=x
   Option B
   (4x + 7y = 76)*5
   (9x – 5y = 5)*7
   x = 5 y = 8
   y > x

    

5. 3x^2 – 8x + 4 = 0
   8y^2 – 6y + 1 = 0
   y>=x
   No relationship established.
   x>=y
   y>x
   x>y
   Option E
   3x^2 – 8x + 4 = 0
   =>3x^2 – 6x – 2x + 4 = 0
   => 3x(x-2) – 2(x-2) = 0
   => x = 2, 2/3
   8y^2 – 6y + 1 = 0
   =>8y^2 – 2y – 4y + 1 = 0
   => 2y(4y-1) – 1(4y-1) = 0
   => y = ½, ¼
   x>y

    


Directions(6-10):Study the following information carefully and answer the question given below it :
Percentage proportion of income of seven companies in a state during financial year – 2013 – 14 :


Percentage profit of these companies during the same Financial Year :


6. What is the ratio of the expenditure of company D to company C ?
   81 : 10
   80 : 13
   79 : 11
   85 : 19
   80 : 11
   Option E
   Required ratio = 80 : 11

    

7. Which of the following companies has recorded the maximum profit in this financial year if the combined income of these companies is 4500 crore ?
   5400
   4100
   2500
   3150
   3250
   Option A
   5% = 750
   1 % = 150
   45*150/125*100 = 5400 crore

    

8. If the income of company D and B together is Rs.270 crore then fined the profit of company B in that year ?
   20.15
   11.75
   17.17
   13.35
   31.20
   Option B
   (20 % + 10 %) = 270
   10% = 90
   => IB = 90
   E(B) = 90*100/115 = 78.26
   =>PB = 11.739 == 11.75 crore

    

9. If in the given financial year income of company A was 440 crore. What was the approximately expenditure of company C in that year ?
   10
   22
   35
   15
   18
   Option B
   20 % = 440
   1% = 440/20 = 22

    

10. If the expenditure of company D is 750 crore, what was the total income of all the given companies together ?
    4250
    3300
    3020
    4125
    4000
    Option D
    20%*100/110*Total = 750
    => Total = 4125